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Flexural rigidity

About: Flexural rigidity is a research topic. Over the lifetime, 3829 publications have been published within this topic receiving 56780 citations.


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Journal ArticleDOI
TL;DR: In this paper, the coupled hydroelastic frequencies of an incompressible and frictionless liquid in a circular cylindrical container, of which the free liquid surface is covered by a flexible membrane or an elastic plate, have been determined analytically.

75 citations

Journal ArticleDOI
TL;DR: In this paper, the authors analyzed the non-linear oscillations of a one-dimensional axially moving beam with vanishing flexural stiffness and weak nonlinearities, and the solution of the initial-boundary value problem for the partial differential equation that describes the motion of the beam was expanded into a perturbative double series.
Abstract: The non-linear oscillations of a one-dimensional axially moving beam with vanishing flexural stiffness and weak non-linearities are analysed. The solution of the initial-boundary value problem for the partial differential equation that describes the motion of the beam when two parameters related to the flexural stiffness and the non-linear terms vanish is expanded into a perturbative double series. Two singular perturbation effects due to the small flexural stiffness and to the weak non-linear terms arise: (i) a boundary layer effect when the flexural stiffness vanishes, (ii) a secular effect. Some tests are performed to compare the “first order” perturbative solution with an approximate solution obtained by a finite difference scheme. The effect of the oscillation amplitude combined with the presence of small bending stiffness and axial transport velocity is investigated enlighting some interesting aspects of axially moving systems. The value of the perturbative series as a computational tool is shown.

75 citations

Journal ArticleDOI
TL;DR: In this paper, the two-dimensional analysis of the dry-relaxed knitted loop given in Part I of this series is extended to three dimensions by considering the couples acting on the loop at the points of interlocking.
Abstract: The two-dimensional analysis of the dry-relaxed knitted loop given in Part I of this series is extended to three dimensions by considering the couples acting on the loop at the points of interlocking. The fabric dimensional parameters and the knitted-fabric cover are evaluated for the three-dimensional structure, and the conditions of jamming are investigated. The distribution of curvature and torsion along the loop indicates that very high torsional strains are induced in the arms of the loop. The order of magnitude of the applied forces and couples is evaluated, and the energy of the loop is obtained as a function of G/B, the ratio of the torsional rigidity of the yarn to its flexural rigidity. The significance of these results is discussed. Finally, there is a critical discussion of the assumptions made throughout the work.

75 citations

Journal ArticleDOI
TL;DR: In this paper, the effect of impact energy on the mechanical properties of textile-reinforced aerated concrete sandwich panels was investigated using an instrumented three-point bending experiment under static and low-velocity dynamic loading.

73 citations

Journal ArticleDOI
TL;DR: In this paper, a model for the compressive buckling of an extended polymer chain is presented and the critical stresses to buckle this collection of elastic chains are calculated following a procedure developed to predict the predicted compressive strengths of fiber-reinforced composites.
Abstract: A model for the compressive buckling of an extended polymer chain is presented. The application of classical elastic instability analysis to an idealized polymer chain reveals that the bending rigidity and critical buckling loads for a chain are proportional to the force constants for valence bond angle bending and torsion. Highly oriented polymer fibres are treated as a collection of elastic chains that interact laterally. The critical stresses to buckle this collection of chains are calculated following a procedure developed to predict the compressive strengths of fibre-reinforced composites. This buckling stress is predicted to be equal to the shear modulus of the fibres and is the limiting value of compressive strength. Comparison of experimental and predicted values shows that the theory overestimates the compressive strength, but that there is a correlation of shear modulus with axial compressive strength. Consideration of flaws in both the theory and the material indicate that the compressive strength should be proportional to either the shear modulus or shear strength of the fibres.

73 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202395
2022201
2021171
2020163
2019178
2018146